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Chapter 6: Q.38 (page 395)

sin胃,cos胃 are given. Find the exact value of each of the four remaining trigonometric functions sin胃=-255andcos胃=-55

Short Answer

Expert verified

The value ofcsc胃=-525,sec胃=-55,tan胃=2andcot胃=12

Step by step solution

01

Step 1. Given information

sin胃=-255andcos胃=-55are given.

We have to find out the exact value of each of the four remaining trigonometric functions.

02

. Finding the value of trigonometric functions cscθ and secθ 

According to the question

sin胃=-255socsc胃=1sin胃=-1255=-525cos胃=-55thensec胃=1cos胃=-155=-55

03

Step 3. Finding the value of the trigonometric function tanθ and cotθ

We know thattan胃=sin胃cos胃=-255-55sincesin胃=-255andcos胃=-55=2andcot胃=1tan胃=12

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